Question

Translate the algebraic expression shown below into a verbal expression.

The fraction with variable $\mathrm{x}$ in the numerator and $6$ in the denominator.

• A. The sum of six and some number
• B. The product of six and some number
• C. The quotient of some number and six
• D. The difference between six and some number

Answer 1

The correct option is C

The quotient of some number and six

Determine the algebraic expression:

For Option (C):

The explanation for the correct option:

The fraction with a variable $\mathrm{x}$ in the numerator and $6$ in the denominator can be written in the algebraic expression as $\frac{x}{6}$.

Thus, The quotient of some number and six will be $\frac{\mathrm{x}}{6}$.

Hence, the correct option is “Option C”.

The explanation for the incorrect option:

For Option (A):

The sum of six and some numbers can be written as $6+\mathrm{x}$.

For Option (B):

The product of six and some numbers can be written as $6\times \mathrm{x}$.

For Option (D):

The difference between six and some numbers will be $6-\mathrm{x}$.

Hence, “Option A, Option B, and Option D” are incorrect.

Hence, the correct option is “Option C”.